Pith Number

pith:6B62FPF6

pith:2018:6B62FPF6WLOI6HLUKRMFNM5UGA

not attested not anchored not stored refs pending

Strong linearizations of rational matrices with polynomial part expressed in an orthogonal basis

Froil\'an M. Dopico, Mar\'ia C. Quintana, Silvia Marcaida

arxiv:1806.10544 v1 · 2018-06-27 · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6B62FPF6WLOI6HLUKRMFNM5UGA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:12:12.061741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f07da2bcbeb2dc8f1d74545856b3b43019b758fcf4b20cd687ede5a5cab15ba7

Aliases

arxiv: 1806.10544 · arxiv_version: 1806.10544v1 · doi: 10.48550/arxiv.1806.10544 · pith_short_12: 6B62FPF6WLOI · pith_short_16: 6B62FPF6WLOI6HLU · pith_short_8: 6B62FPF6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6B62FPF6WLOI6HLUKRMFNM5UGA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f07da2bcbeb2dc8f1d74545856b3b43019b758fcf4b20cd687ede5a5cab15ba7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b1f62da78ef70b36a76322bdf0816e28939faca76dd0bb64f82b7d4a2493337",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-06-27T16:02:26Z",
    "title_canon_sha256": "05f6eba53fa0d57323ba47b6af0d9cd7d5538007370863a633b4d6bd5c570c90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10544",
    "kind": "arxiv",
    "version": 1
  }
}